Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (1): 79-84.

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Gracefulness of Five Kinds of Graphs

TANG Baoxiang1, REN Han2   

  1. 1. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, Gansu Province, China;
    2. School of Mathematical Sciences, East China Normal University, Shanghai 200062, China
  • Received:2022-03-19 Online:2023-01-26 Published:2023-01-26

Abstract: The graceful labels of graphs were given by the construction method, and it was proved that these five kinds of graphs were all graceful graphs. When n≤5, were all extremely minimal graceful graph, from which the 15 groups of scale values with the least number of scales for the corresponding length ruler were given.

Key words: graceful graph, graceful labeling, complete bipartite graph, minimal graceful graph, saving scale

CLC Number: 

  • O157.5